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A022020 Define the sequence S(a(0),a(1)) by a(n+2) is the least integer such that a(n+2)/a(n+1) > a(n+1)/a(n) for n >= 0. This is S(3,9). 2
3, 9, 28, 88, 277, 872, 2746, 8648, 27236, 85778, 270153, 850832, 2679649, 8439409, 26579461, 83710572, 263641910, 830325909, 2615066456, 8236010096, 25938867499, 81693057596, 257287858063, 810314166891, 2552040558803, 8037513448351, 25313713063685, 79724167578475 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Colin Barker, Table of n, a(n) for n = 0..1000

MAPLE

A022020 := proc(n)

    option remember;

    if n <= 1 then

        op(n+1, [3, 9]) ;

    else

        a := procname(n-1)^2/procname(n-2) ;

        if type(a, 'integer') then

            a+1 ;

        else

            ceil(a) ;

        fi;

    end if;

end proc: # R. J. Mathar, Feb 10 2016

PROG

(PARI) a=[3, 9]; for(n=2, 30, a=concat(a, a[n]^2\a[n-1]+1)); a \\ M. F. Hasler, Feb 10 2016

CROSSREFS

Sequence in context: A118365 A095716 A124820 * A195675 A170953 A199104

Adjacent sequences:  A022017 A022018 A022019 * A022021 A022022 A022023

KEYWORD

nonn

AUTHOR

R. K. Guy

EXTENSIONS

Double-checked and extended to 3 lines of data by M. F. Hasler, Feb 10 2016

STATUS

approved

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Last modified September 15 14:53 EDT 2019. Contains 327078 sequences. (Running on oeis4.)